Judging from your other question, this is a Spanish university. The "Equipo Rectoral" typically consists of the Rector, the Vicerrectores (Vice-Rectors), the Secretario/a General (University Secretary) and the Gerente (General Manager). Just these, so not "staff", which would include all those who work in Rector's and Vicerrectores' offices. The Rector and Vice-Rectors are senior academics, normally elected as a "ticket" for a fixed term by the academic staff and students; the last two are administrators. Each Vicerrector is responsible for a particular area of university administration, and in some cases the equivalent figure in a British university would be a "Director", an administrator, not an academic. Deans of faculties/schools are not members of the Equipo Rectoral.

The Rector and Vicerrectores are equivalent to the Vice-Chancellor and Deputy Vice-Chancellors/Pro-Vice-Chancellors or the Principal and Vice-Principals in a British university, and some people translate them like that. I prefer to call them the Rector and Vice-Rectors.

Anyway, if you don't like "Rector's team" (and I can understand why you might not), perhaps "Senior Management Team" or "Senior Management Group" or just "Senior Management" would be acceptable. These terms are common in British universities for essentially the equivalent group of people, and they're sufficiently general, I think, to work for any target. Here are some examples:

"Senior Management team"
(Vice-Chancellor, Dep. V-C, 3 Pro-V-Cs and 2 Vice-Presidents, and 2 Directors)
https://www.bath.ac.uk/teams/senior-management-team/

"Senior Management"
(Principal and V-C, Senior Vice-Principal, 4 Vice-Principals, the Secretary to the University and 10 Directors, mostly with functions equivalent to Vicerrectores in Spain)
https://www.abdn.ac.uk/about/management/senior-management-70...

"The University Executive Board is the senior management team of the University"
Similar membership
https://www.cardiff.ac.uk/about/organisation/university-exec...

https://www.stir.ac.uk/about/our-people/senior-officers/smt/

"Vice-Chancellor's office
Senior Management Team"
https://www.liverpool.ac.uk/vice-chancellors-office/senior-m...

And so on.

The Dirección General (de Unversidades) is a regional government (comunidad autónoma) authority, a sub-department of the Consejería de Educación.